LP to minimize the cost of making the required transistors:

Assume the following,

Let “x1” be the count of transistors that are melted by method “1”.

Let “x2”be the count of transistors that are melted by method “1”.

Let “D” be the count of defectives that are not refired.

Let “DR” be the count of defectives that are refired.

Let “r1” be the count of grade “1” transistors that are refired.

Let “r2” be the count of grade “2” transistors that are refired.

Let “r3” be the count of grade “3” transistors that are refired.

Let “t1” be the count of grade “1” transistors that are not refired.

Let “t2” be the count of grade “2” transistors that are not refired.

Let “t3” be the count of grade “3” transistors that are not refired.

The Linear Programming (LP) to minimize the cost of making required transistors is as follows,

Min z=50x1+70x2+25DR+25r1+25r2+25r3

The above function subject to the following conditions,

“0.3x1+0.2x2−DR−D=0” denotes the quality of manufactured defective transistor.

“0.3x1+0.2x2−r1−t1=0” denotes the quality of manufactured grade “1” transistor.

“0.2x1+0.25x2−r2−t2=0” denotes the quality of manufactured grade “2” transistor

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Introduction to mathematical programming

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Solution Summary: The author explains the Linear Programming (LP) to minimize the cost of making required transistors.

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